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Now white redoubles, at exactly the right time; he has not waited too long. On the other hand, black must take; any 2 except double 2’s will win outright for him because white certainly could not accept a redouble should he now roll any of the ten losing shots (2-1, 2-3, 2-4, 2-5, 2-6, or their reciprocals).

By redoubling here, white is admittedly forfeiting two probable further rolls for a chance to win with a double, should he now be unfortunate enough to roll a single 2. (That is, if white did not double here and then proceeded to roll a 2, black could not redouble him, since he would not own the cube, and white would have two turns to win by rolling a double.) But this chance should be taken, and his double here is technically and tactically sound — as is black’s acceptance of it.

Many players would drop if they were black in this position, but they are absolutely wrong. In this case, however, black correctly accepts white’s double.

Rollout  Tom Keith 2013

Money play White owns 8-cube White on roll 1296 games with VR Checker play: 3-ply Cube play: XG Roller

XGID=-D-B--------------------e-:3:1:1:00:0:0:0:0

Cube Action			Game	G	BG		Equity
No double		W L	.6172 .3828	.0000 .0000	.0000 .0000		+0.3911
Double	Take	W L	.6172 .3828	.0000 .0000	.0000 .0000	+0.2279	+0.2279	(0.1632)
	Drop					+1.0000

  White is not good enough to redouble  

“Three Great Games,” Backgammon: the Cruelest Game

Backgammon: the Cruelest Game (1974), by Barclay Cooke and Jon Bradshaw